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Finding the Third Proportional to 414.84 and 664.17

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Solution

The third proportional to 414.84 and 664.17 is: 1,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 664.17 = 664.17 : x
  2. Step 2: Convert to fraction form
    414.84/664.17 = 664.17/x
  3. Step 3: Cross multiply
    414.84x = 664.17 × 664.17
  4. Step 4: Simplify right side
    414.84x = 441,124.28
  5. Step 5: Solve for x
    x = 441,124.28/414.84
  6. Step 6: Final answer
    x = 1,063.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.